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GATE 2018 Exam: Engineering Mathematics Quiz 30

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Question 1

The matrix A is 3 × 3 matrix, if the matrix is a singular matrix then which of the following statement is true;

Question 2

The value of is __________

Question 3

The value of(where C is the boundary of the region boundary by x = 0, y = 0 and x + y = 1) is …………………………

Question 4

The value of where ‘C’ is the left half of the unit circle in CCW direction

Question 5

Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be

Question 6

The Laplace transform ofis

Question 7

Let where then equals

Question 8

The directional derivative of at in the direction of line PQ, where , is _____.

Question 9

Let be such that det where I denotes the identity matrix. If the trace of and det then sum of squares of the eigen values of A is ____.

Question 10

The solution of following differential equation is

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Apr 17ESE & GATE EC